SOLUTION: `please help me solve this problem.(Also show me the steps please) Solve the system using any algebraic method x + y + 2z =5 x + 2y + z = 8 2x + 3y - z = 1

Algebra ->  College  -> Linear Algebra -> SOLUTION: `please help me solve this problem.(Also show me the steps please) Solve the system using any algebraic method x + y + 2z =5 x + 2y + z = 8 2x + 3y - z = 1       Log On


   

Question 12450: `please help me solve this problem.(Also show me the steps please)
Solve the system using any algebraic method
x + y + 2z =5
x + 2y + z = 8
2x + 3y - z = 1
Thanks for helping me solve this problem.
KAt ''.
Answer by slksil001(7) About Me  (Show Source):
You can put this solution on YOUR website!
x + y + 2z =5 ............. .(1)
x + 2y + z = 8 ............(2)
2x + 3y - z = 1 ...........(3)


x + y + 2z= 5....................(4)
y - z= 3......{subtract(2)from(1)}.............(5)
y - 5z= -9....................(6)


x + y + 2 z = 5.........................(7)
y - z = 3........................(8)
-4z = - 12............{subtract(6)from(5)}.................(9)




x + 3 z = 2...{ subtract (7) from (8) }..........................(10)
+ y - z = 3.............................(11)
-4z = -12..........................(12)




x + 3z = 2.....................(13)
+y - z =3......................(14)
z =3.........{divide (12) by -4 }....................(15)




x + 3z = 2.....................(16)
y =6.......{add(14)&(15)}.............(15)
z=3....................(18)


x =-7....{subtract 3*(18) from (16)}.............(19)
y =6..........................................(20)
z =3...............................(21)
ANSWERS:
x=-7
y=6
z=3